Question

if Deg (f(X)) = 5 and (g(X)) = 4 then Deg[f(X) - g(X)]​

Answer 1

If deg(f(x)) = 5 and deg(g(x)) = 4 then deg(f(x) - g(x)) = 5.

• We know that,

                 deg(f(x)) = m, deg(g(x)) = n

                 deg(f(x) ± g(x)) ≤ max{deg(f(x)), deg(g(x))}

                 deg(f(x) ± g(x)) = max{m, n}, if m>n

• Here,

                  deg(f(x)) = 5, deg(g(x)) = 4

                    ⇒ 5>4

                  deg(f(x) - g(x)) = max{deg(f(x)) - deg(g(x))}

                  deg(f(x) - g(x)) = max{5, 4}

                 ∴ deg(f(x) - g(x)) = 5

Answer 2

Answer:5Step-by-step explanation:because let the number be number be x^5 & x^4 then deg( X^5-X^4)is 5 because 5 is the highest power